3661600 has 72 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1393920.

The previous prime is 3661597. The next prime is 3661601. The reversal of 3661600 is 61663.

It is not an unprimeable number, because it can be changed into a prime (3661601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18301 + ... + 18499.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^3661600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3661600 is an abundant number, since it is smaller than the sum of its proper divisors (5712800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3661600 is a wasteful number, since it uses less digits than its factorization.

3661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3661600 is about 1913.5307679784. The cubic root of 3661600 is about 154.1311077797.

The spelling of 3661600 in words is "three million, six hundred sixty-one thousand, six hundred".